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226002112081 is a prime number
BaseRepresentation
bin1101001001111011000…
…1101000111001010001
3210121100110211211122121
43102132301220321101
512200323020041311
6251453545334241
722220354153644
oct3223661507121
9717313754577
10226002112081
1187935333929
1237973797381
1318409352005
14ad1d5a5a5b
155d2b0e3b71
hex349ec68e51

226002112081 has 2 divisors, whose sum is σ = 226002112082. Its totient is φ = 226002112080.

The previous prime is 226002112001. The next prime is 226002112087. The reversal of 226002112081 is 180211200622.

226002112081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223903097856 + 2099014225 = 473184^2 + 45815^2 .

It is a cyclic number.

It is not a de Polignac number, because 226002112081 - 213 = 226002103889 is a prime.

It is a super-2 number, since 2×2260021120812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226002112087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113001056040 + 113001056041.

It is an arithmetic number, because the mean of its divisors is an integer number (113001056041).

Almost surely, 2226002112081 is an apocalyptic number.

It is an amenable number.

226002112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

226002112081 is an equidigital number, since it uses as much as digits as its factorization.

226002112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 226002112081 in words is "two hundred twenty-six billion, two million, one hundred twelve thousand, eighty-one".